Consider a multipath signal whose individual signals are deterministic
known pulses. Our problem is to estimate the amplitudes and delay tim
es of individual signals. Several methods have been devoted to solutio
n of these unknown parameters. The maximum-likelihood estimation and t
he Estimate Maximize algorithm are commonly used, but they are computa
tionally intensive. We consider the multipath signal as a changing lin
ear model and use a change-point technique to obtain a quick and accur
ate estimate of the amplitudes and arrival (delay) times. We detect th
e pulse in a multipath signal which first arrives, and then finish one
by one in a sequence until no pulse appears. Therefore, by using the
change-point procedure, the number of individual pulses need not be kn
own. The results of a Monte Carlo simulation study with trapezoidal an
d sinusoidal pulses are presented to demonstrate a quick and accurate
estimate of arrival times and amplitudes.